A whistle whose air column is open at both ends has a fundamental frequency of $5100 H z$ . If the speed of sound in air is $340 {m s}^{- 1}$ , the length of the whistle, in $c m$ , is:

5 / 3

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10 / 3

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Solution

The correct option is A $10 / 3$
Given : Speed of sound in air $v = 340$ $m s^{- 1}$
Let the length of the organ pipe (whistle) open at both ends be $L$
Fundamental frequency of the whistle is given by $ν = \frac{v}{2 L}$
$⟹$ $L = \frac{v}{2 ν} = \frac{340}{2 \times 5100} = 0.0333$ $m$

$∴$ $L = 3.33$ $c m = \frac{10}{3}$ cm

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A whistle whose air column is open at both ends has a fundamental frequency of 5100 Hz. If the speed of sound in air is 340 ms−1, the length of the whistle, in cm, is:

The correct option is A 10/3Given : Speed of sound in air v=340 ms−1Let the length of the organ pipe (whistle) open at both ends be LFundamental frequency of the whistle is given by ν=v2L⟹ L=v2ν=3402×5100=0.0333 m∴ L=3.33 cm=103 cm

A whistle whose air column is open at both ends has a fundamental frequency of $5100 H z$ . If the speed of sound in air is $340 {m s}^{- 1}$ , the length of the whistle, in $c m$ , is: